In the given electrical circuit, which one of the following equations is a correct equation? (a) E₂ - i₂r₂ - E₁ - i₁r₁ = 0 (b) E₁ - (i₁ + i₂)R + i₁r₁ = 0 (c) E₁ - (i₁ + i₂)R - i₁r₁ = 0 (d) -E₂ - (i₁ + i₂)R + i₂r₂ = 0

Answer: (c). Apply KVL to loop E → A → B → F → E, moving along the currents. Through R (current i₁ + i₂, A to B): drop (i₁ + i₂)R. Through r₁ from F to E (with i₁): drop i₁ r₁; through E₁ from - to +: rise E₁. E₁ - (i₁ + i₂)R - i₁ r₁ = 0 So the answer is (c).

In the given electrical circuit, which one of the following equations… | MHT CET 2019 (2 May, Shift 2)

Q155MHT CET 2019 · 2 MAY · SHIFT 2Medium

Kirchhoff's Laws & Measuring Instruments

In the given electrical circuit, which one of the following equations is a correct equation?

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Answer: (c)

Apply KVL to loop $E \to A \to B \to F \to E$ , moving along the currents.
Through $R$ (current $i_1 + i_2$ , A to B): drop $(i_1 + i_2)R$ .
Through $r_1$ from F to E (with $i_1$ ): drop $i_1 r_1$ ; through $E_1$ from $-$ to $+$ : rise $E_1$ .
$E_1 - (i_1 + i_2)R - i_1 r_1 = 0$
So the answer is (c).

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Kirchhoff's Laws & Measuring Instruments question from MHT CET 2019 (2 May, Shift 2)

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